Sentence examples for a weak first order from inspiring English sources

At approximately 290 K there is a weak first order isosymmetric transition to an intermediate state in which the molecules occupy two symmetry related positions in close proximity to each other, i.e. the Wyckoff positions of Cmc21 break down to those of Pbn21, but these are occupied in a disordered fashion so as to maintain on average Cmc21 symmetry.

Both X-ray and DSC measurements show that the FCC FCT transformation is a weak first-order thermoelastic transition.

However, we report here that in an Fe-31.2Pd (at.%) alloy, a significant elastocaloric effect appears due to lattice softening, which causes a weak first-order martensitic transformation at T0 (∼230 K).

The elastocaloric effect under tensile stress along the [001] direction has been investigated in an Fe-31.2Pd (at.%) alloy, which exhibits a weak first-order martensitic transformation at 230 K from a face-centered cubic structure to a face-centered tetragonal (c/a < 1) structure.

In this paper, a weak second-order accurate mid-point scheme for the stochastic differential equations (SDEs) arising in the composition PDF method for turbulent reactive flows is proposed and tested.

This indicates only a weak first-order transcriptional response is linked to the clinical response.

The phase transition that separates the two confined phases is a weak first-order transition, but mimics several features of deconfined quantum critical points  [47].

Here we derive a global error expansion similar to Eqs. (1) and (17) for the numerical approximation of moments by a weak first-order discrete stochastic method, such as the Euler or midpoint τ-leap methods.

We employ a similar approach to Talay and Tubaro [ 23] and Liu and Li [ 30] to find a general expression for the global error expansion of the moments of a weak first-order discrete stochastic method; this is Appendix B. In Appendix C we explicitly evaluate this for the particle decay system and show that it is equivalent to Eq. 12 in this case.

Based on the SDE method of Anderson and Mattingly [ 21], the θ-trapezoidal τ-leap [ 20] is a weak second-order method.

As the temperature is lowered further through this intermediate region, the two molecular sites move steadily apart, and their correlation in terms of the displacement directions of neighbouring molecules becomes progressively longer in range, until about 274 K the system undergoes a second weak first order transition, where the crystal assumes the ordered low temperature structure in Pbn21.